. The house number in Raja Karorimal lane starts with natural numbers, i.e. 1,2,3….. Sum of all the house numbers on the left side of Raja's residence in that lane is equal to the sum of all the house on its right side. There are more but less than 3000 houses on the right side of Raja's residence.Q. What is my house number?
a-204
b-288
c-6929
d-7014
Answers
The house number in Raja Karorimal lane starts with natural numbers, i.e. 1,2,3….. Sum of all the house numbers on the left side of Raja's residence in that lane is equal to the sum of all the house on its right side. There are more but less than 3000 houses on the right side of Raja's residence.Q. What is my house number?
a-204
b-288
c-6929
d-7014
Step-by-step explanation:
If there are x houses on the left side and the total number of houses in the lane is y. Then Raja's house will be (x+1). Now x(x+1)/2= y(y+1)/2- (x+1)(x+2)/2 (x+1)2 = y(y+1)/2 There are many pairs of x and y that will satisfy the equation, but x=6929 and y= 9801 is the only pair from which we shall get more than 100 but less than 3000 houses on the right side of Raja's house. Therefore, answer is (b)
b-288